New mathematical approaches to learn the equations of life from noisy data. New mathematical models and mathematical modelling methods must be continually developed to interpret emerging biotechnology experiments. Contemporary research in tissue engineering involves growing tissues on 3d-printed scaffolds to mimic constrained in vivo geometries. Previous mathematical models of tissue growth focus on computationally expensive discrete mathematical models that are poorly suited for parameter infe ....New mathematical approaches to learn the equations of life from noisy data. New mathematical models and mathematical modelling methods must be continually developed to interpret emerging biotechnology experiments. Contemporary research in tissue engineering involves growing tissues on 3d-printed scaffolds to mimic constrained in vivo geometries. Previous mathematical models of tissue growth focus on computationally expensive discrete mathematical models that are poorly suited for parameter inference and experimental design. This project will deliver and deploy high-fidelity, computationally efficient moving boundary continuum mathematical models that will: (i) predict/interpret new experiments, (ii) provide quantitative insight into biological mechanisms, and (iii) enable reproducible experimental design.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE240100650
Funder
Australian Research Council
Funding Amount
$443,237.00
Summary
Behind the barrier: using mathematics to understand the neuro-immune system. This project aims to develop new mathematical methods to study healthy immune cell regulation in the brain and movement across the Blood Brain Barrier. The project expects to develop novel deterministic and stochastic mathematics that captures the stochasticity of immune cells in the Central Nervous System (brain and spine) and form the foundation of a new field of mathematical research: mathematical neuroimmunology. Ex ....Behind the barrier: using mathematics to understand the neuro-immune system. This project aims to develop new mathematical methods to study healthy immune cell regulation in the brain and movement across the Blood Brain Barrier. The project expects to develop novel deterministic and stochastic mathematics that captures the stochasticity of immune cells in the Central Nervous System (brain and spine) and form the foundation of a new field of mathematical research: mathematical neuroimmunology. Expected benefits of this project include new mathematical tools, biological insight, and strong interdisciplinary collaborations. From this project, Australia will be placed at the forefront of mathematical research in neuroimmunology, and there will be a complete understanding of homeostasis of the neuro-immune system. Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE160100127
Funder
Australian Research Council
Funding Amount
$355,000.00
Summary
Superresolution fluorescence imaging in microbiology. Superresolution fluorescence imaging in microbiology:
This project involves the purchase of new, and upgrade of existing, fluorescence imaging tools to facilitate the study of intracellular processes in microbial systems at significantly higher spatial and temporal resolutions than hitherto possible. Visualisation of the structure and dynamics of intracellular molecular assemblies at maximal resolution is required to understand protein funct ....Superresolution fluorescence imaging in microbiology. Superresolution fluorescence imaging in microbiology:
This project involves the purchase of new, and upgrade of existing, fluorescence imaging tools to facilitate the study of intracellular processes in microbial systems at significantly higher spatial and temporal resolutions than hitherto possible. Visualisation of the structure and dynamics of intracellular molecular assemblies at maximal resolution is required to understand protein function inside living cells. The new equipment is designed to provide a fast super-resolution imaging system to study the intracellular dynamics of proteins in vitro and a super-resolution microscope to visualise structures and assemblies inside microbes with a resolution of tens of nanometres, putting in vitro biochemistry into the context of a living cell. Read moreRead less
Mathematical modelling of the dynamics of multi-layered biological tissues. The project intends to develop a mathematical model of the basic mechanisms that determine the self-organisation of cells into complex tissues during the development of the embryo. Tissue function requires a non-trivial tissue architecture often composed of multiple cell layers which exhibit a remarkable capacity for renewal and defect correction. A cardinal part of embryonic development involves robust shaping of multi- ....Mathematical modelling of the dynamics of multi-layered biological tissues. The project intends to develop a mathematical model of the basic mechanisms that determine the self-organisation of cells into complex tissues during the development of the embryo. Tissue function requires a non-trivial tissue architecture often composed of multiple cell layers which exhibit a remarkable capacity for renewal and defect correction. A cardinal part of embryonic development involves robust shaping of multi-layered tissue morphologies. The project plans to use mathematical models to determine how complex, three-dimensional structures arise from adaptive multicellular biomechanical interactions. It plans to develop a novel computational modelling framework to represent and analyse such systems, which may be applicable to a wide range of problems where tissue mechanics is a key factor such as bone remodelling and wound healing.Read moreRead less
How motor proteins contract the cell cortex and form a cell division ring. This project aims to develop a detailed physical model for motor proteins and filaments and, based on it, derive a fluid-type mean-field mathematical model, which will facilitate numerical simulations and lead to testable predictions. This study will also provide detailed quantitative information on how these processes can be controlled by modifying concentration and properties of structural and motor proteins. This has p ....How motor proteins contract the cell cortex and form a cell division ring. This project aims to develop a detailed physical model for motor proteins and filaments and, based on it, derive a fluid-type mean-field mathematical model, which will facilitate numerical simulations and lead to testable predictions. This study will also provide detailed quantitative information on how these processes can be controlled by modifying concentration and properties of structural and motor proteins. This has potential applications in tumour therapy, developmental biology and in the bioengineering of nanomaterials.Read moreRead less
Establishing Design Principles Of Polymers For Intracellular Delivery . Engineered polymers have played a central role in the field of bionanotechnology by enabling targeted nanoscale cell interactions. Progress in the field of intracellular delivery is currently affected by a major bottleneck due to the absence of effective polymers that is applicable across the range of bimolecular cargoes. In essence depending on the type of cargo: DNA, RNA or protien, the polymer needs programmability. The l ....Establishing Design Principles Of Polymers For Intracellular Delivery . Engineered polymers have played a central role in the field of bionanotechnology by enabling targeted nanoscale cell interactions. Progress in the field of intracellular delivery is currently affected by a major bottleneck due to the absence of effective polymers that is applicable across the range of bimolecular cargoes. In essence depending on the type of cargo: DNA, RNA or protien, the polymer needs programmability. The limited tunability of traditional polymers agents makes them unsuitable for this particular application. The multidisciplinary project addresses this significant problem by engineering novel sequences of defined polymer based nanoscale agents to achieve efficient delivery in cells.Read moreRead less
Optimisation of functional mesoporous materials for low-abundance biomarkers quantification towards biodiagnostic applications. Using state-of-the-art nanotechnology, a novel approach will be developed to quantitatively analyse low abundance peptides and proteins. This will aid in the detection of a biomarker in osteoarthritis, a disease affecting 3.85 million Australians. This project has significance for the early diagnosis and improved treatment of this disease.
A novel magnetic resonance imaging (MRI) technique to characterise white matter microstructure in the brain. Integrity of the cellular architecture of brain white matter (WM) is vital to normal signal conduction and is disrupted in diseases such as multiple sclerosis. Due to their characteristic molecular arrangements, WM microstructures have distinct magnetic susceptibility characteristics that can be detected with high-field and ultra high-field magnetic resonance imaging (MRI). The objective ....A novel magnetic resonance imaging (MRI) technique to characterise white matter microstructure in the brain. Integrity of the cellular architecture of brain white matter (WM) is vital to normal signal conduction and is disrupted in diseases such as multiple sclerosis. Due to their characteristic molecular arrangements, WM microstructures have distinct magnetic susceptibility characteristics that can be detected with high-field and ultra high-field magnetic resonance imaging (MRI). The objective of this project is to develop and validate a novel method of mapping susceptibility effects at high (sub-voxel) resolution with MRI. The outcomes will be a more comprehensive understanding of the relationship between changes in MRI signal and WM microarchitecture and improved susceptibility mapping that may lead to earlier diagnosis and more effective therapeutic monitoring.Read moreRead less
Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynami ....Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynamics. The project should provide benefits to industries where highly organised behaviours are important, for example those interested in robot swarming, optimal transportation, and epidemic management. It should also benefit Australian students and researchers with novel overseas training opportunities.Read moreRead less
New Directions in Bayesian Statistics: formulation, computation and application to exemplar challenges. Bayesian statistics is a fundamental statistical and machine learning approach for density estimation, data analysis and inference. However, there remain open questions regarding the formulation of the model, the likelihood and priors, and efficient computation. This project proposes new approaches that address these issues, and applies them to two exemplar challenges: the impact of climate ch ....New Directions in Bayesian Statistics: formulation, computation and application to exemplar challenges. Bayesian statistics is a fundamental statistical and machine learning approach for density estimation, data analysis and inference. However, there remain open questions regarding the formulation of the model, the likelihood and priors, and efficient computation. This project proposes new approaches that address these issues, and applies them to two exemplar challenges: the impact of climate change on the Great Barrier Reef and better understanding neurological diseases related aging, in particular Parkinson's Disease. Read moreRead less